420122314413 has 32 divisors (see below), whose sum is σ = 654603310080. Its totient is φ = 265932538560.

The previous prime is 420122314393. The next prime is 420122314429. The reversal of 420122314413 is 314413221024.

420122314413 is a `hidden beast` number, since 4 + 2 + 0 + 12 + 231 + 4 + 413 = 666.

It is not a de Polignac number, because 420122314413 - 2¹⁶ = 420122248877 is a prime.

It is a super-3 number, since 3×420122314413³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420122314013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690906 + ... + 4779627.

It is an arithmetic number, because the mean of its divisors is an integer number (20456353440).

Almost surely, 2^420122314413 is an apocalyptic number.

It is an amenable number.

420122314413 is a deficient number, since it is larger than the sum of its proper divisors (234480995667).

420122314413 is a wasteful number, since it uses less digits than its factorization.

420122314413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470626 (or 9470620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 420122314413 its reverse (314413221024), we get a palindrome (734535535437).

The spelling of 420122314413 in words is "four hundred twenty billion, one hundred twenty-two million, three hundred fourteen thousand, four hundred thirteen".